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pogonyaev
2 years ago
7

Angle mIJK=180, angle mIJU = 3x-7, and angle mUJK=17x + 7 find angle mIJU

Mathematics
1 answer:
Andrej [43]2 years ago
3 0

Answer:

The measure of angle IJU is 20 degrees.

Step-by-step explanation:

In order to find that, we need to add the two angles together and set equal to 180 degrees. Then we can solve for x.

(3x - 7) + (17x + 7) = 180 ----> Combine like terms

20x = 180 -----> Divide by 20

x = 9

Now that we have this, we can stick the value into the equation and solve for IJU.

IJU = 3x - 7

IJU = 3(9) - 7

IJU = 27 - 7

IJU = 20

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Consider an angle with a measure of θ=225∘.
wel

Answer:

cos 225° = -\frac{\sqrt{2} }{2}

sin 225° = -\frac{\sqrt{2} }{2}

tan 225° = 1

Step-by-step explanation:

I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45°   (225 - 180 = 45)

cos and sin are negative in the 3rd quadrant and the tan is positive

cos 225° = - cos 45° = -\frac{\sqrt{2} }{2}

sin 225° = -sin 45° = -\frac{\sqrt{2} }{2}

tan 225° = tan 45° = 1

8 0
2 years ago
Ski resort charges snowboarder fee of $40 plus 8.5 per hour c(t)=__t+_____
Natalija [7]
Your equation would look a lot like this 
c(t) = 8.5t + $40

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6 0
3 years ago
Andrew makes $6 an hour plus $9 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week
ladessa [460]
6x40=$240 dollars a week
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8 0
3 years ago
Read 2 more answers
What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (–6, 5)?
nikdorinn [45]

Answer:

y =- \frac{3}{2}x - 4

Step-by-step explanation:

Given equation of line is:

2x-3y=13

We will convert the equation of line in point-slope form to find the slope of the line

Let  

m_1  be the slope of the line

So,

2x-3y=13

-3y= -2x+13

Dividing both sides by -3

(-3y)/(-3)=(-2x)/(-3)+13/(-3)

y=(2/3)x-13/3

The co-efficient of x is the slope of the line.

So,

m_1=2/3

Let

m_2  be the slope of second line

As we know that product of slopes of two perpendicular line is -1

m_1 m_2= -1

2/3*m_2= -1  

m_2= -1*3/2

m_2= -3/2

So m2 is the slope of the line perpendicular to given line.

The standard equation of a line is  

y=mx+b

To find the equation of line through (-6,5), put the point and slope in the given form and solve for b

5= -3/2 (-6)+b

5=18/2+b

5=9+b

b=5-9

b= -4  

Putting the values of slope and b, we get

y =- \frac{3}{2}x - 4

5 0
3 years ago
Read 2 more answers
Ben has 57 toys.15 of them are new,9 are his favorite ones, 2 are new and favorite. Ben is going to give away all of his other t
Stells [14]

Answer:

31 toys

Step-by-step explanation:

What we know:

- There are 57 toys in total

- 15 are new

- 9 are Ben's favourite

- 2 are both Ben's favourite and new

Ben is not going to give away toys that are new or favourite. This means that the number of toys he <em>will not</em> give away is equal to 15+9+2.

15+9+2

= 26 toys

He has 57 toys in total, so we can find the number of toys he <em>is</em> going to give away by subtracting 26 from 57.

57-26

= 31 toys

Therefore, he will give away 31 toys.

I hope this helps!

4 0
3 years ago
Read 2 more answers
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